Use the character table in Problem 6 to show by calculation that L z L z is

Use the character table in Problem 6 to show by calculation that $L_z$ is a basis function for irreducible representation $B_1$.

Data from Problem 6

Here is the character table for point group \(\mathbf{2 2 2}\) (Schönflies \(\mathbf{D}_{2}\) ). There are three irreducible representations labeled \(B\) because any of them can be a principal axis.

Show by calculation that \(x\) is a basis function for irreducible representation \(B_{3}\).

Transcribed Image Text:

1 2x 2y 22 A 1 1 1 1 B1 1 B2 1 1 -1 1 -1 1 B3 1 1 -1